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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NUM466+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:24:34 PM UTC 2026

% Result   : Theorem 32.11s 5.55s
% Output   : CNFRefutation 32.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   92 (  38 unt;   4 def)
%            Number of atoms       :  297 (  64 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  267 ( 124   ~; 112   |;  22   &)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   93 (   0 sgn  88   !;   5   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).

fof(f30,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( X1 = sdtasdt0(X0,X2)
            & aNaturalNumber0(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).

fof(f32,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xl) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1218) ).

fof(f33,conjecture,
    ( ( doDivides0(xm,xn)
      & doDivides0(xl,xm) )
   => doDivides0(xl,xn) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f34,negated_conjecture,
    ~ ( ( doDivides0(xm,xn)
        & doDivides0(xl,xm) )
     => doDivides0(xl,xn) ),
    inference(negated_conjecture,[status(cth)],[f33]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | aNaturalNumber0(sdtasdt0(X0,X1)) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | aNaturalNumber0(sdtasdt0(X0,X1)) ),
    inference(flattening,[],[f40]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(flattening,[],[f47]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
    inference(flattening,[],[f49]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( X1 = sdtasdt0(X0,X2)
            & aNaturalNumber0(X2) ) ) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( X1 = sdtasdt0(X0,X2)
            & aNaturalNumber0(X2) ) ) ),
    inference(flattening,[],[f82]) ).

fof(f86,plain,
    ( doDivides0(xm,xn)
    & doDivides0(xl,xm)
    & ~ doDivides0(xl,xn) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f87,plain,
    ( doDivides0(xm,xn)
    & doDivides0(xl,xm)
    & ~ doDivides0(xl,xn) ),
    inference(flattening,[],[f86]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ( ( ~ doDivides0(X0,X1)
          | ? [X2] :
              ( X1 = sdtasdt0(X0,X2)
              & aNaturalNumber0(X2) ) )
        & ( ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) )
          | doDivides0(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f83]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ( ( ~ doDivides0(X0,X1)
          | ? [X3] :
              ( sdtasdt0(X0,X3) = X1
              & aNaturalNumber0(X3) ) )
        & ( ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) )
          | doDivides0(X0,X1) ) ) ),
    inference(rectify,[],[f93]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ( ( ~ doDivides0(X0,X1)
          | ( sdtasdt0(X0,sK1(X0,X1)) = X1
            & aNaturalNumber0(sK1(X0,X1)) ) )
        & ( ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) )
          | doDivides0(X0,X1) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f94]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | aNaturalNumber0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f108,plain,
    ! [X2,X0,X1] :
      ( ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ~ doDivides0(X0,X1)
      | sdtasdt0(X0,sK1(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f95]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ~ doDivides0(X0,X1)
      | aNaturalNumber0(sK1(X0,X1)) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f146,plain,
    ! [X2,X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | sdtasdt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | doDivides0(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f150,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f32]) ).

fof(f151,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f32]) ).

fof(f152,plain,
    aNaturalNumber0(xl),
    inference(cnf_transformation,[],[f32]) ).

fof(f153,plain,
    doDivides0(xm,xn),
    inference(cnf_transformation,[],[f87]) ).

fof(f154,plain,
    doDivides0(xl,xm),
    inference(cnf_transformation,[],[f87]) ).

fof(f155,plain,
    ~ doDivides0(xl,xn),
    inference(cnf_transformation,[],[f87]) ).

fof(f162,plain,
    ! [X2,X0] :
      ( ~ aNaturalNumber0(sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X2)
      | doDivides0(X0,sdtasdt0(X0,X2)) ),
    inference(equality_resolution,[],[f146]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] :
      ( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_94,plain,
    ! [X0: $i,X1: $i] :
      ( doDivides0(X0,sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_95,plain,
    ! [X0: $i,X1: $i] :
      ( aNaturalNumber0(sK1(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ~ doDivides0(X0,X1) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_96,plain,
    ! [X0: $i,X1: $i] :
      ( ( sdtasdt0(X0,sK1(X0,X1)) = X1 )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ~ doDivides0(X0,X1) ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_100,plain,
    aNaturalNumber0(xl),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_101,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_102,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_103,negated_conjecture,
    ~ doDivides0(xl,xn),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_104,negated_conjecture,
    doDivides0(xl,xm),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_105,negated_conjecture,
    doDivides0(xm,xn),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_138,plain,
    ! [X0: $i,X1: $i] :
      ( doDivides0(X0,sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_94,c_53,c_94]) ).

tcf(c_942,plain,
    ! [X0: $i,X1: $i] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ( X0 != xl )
      | ( sdtasdt0(X0,X1) != xn ) ),
    inference(resolution_lifted,[status(thm)],[c_138,c_103]) ).

tcf(c_943,plain,
    ! [X0: $i] :
      ( ~ aNaturalNumber0(xl)
      | ~ aNaturalNumber0(X0)
      | ( sdtasdt0(xl,X0) != xn ) ),
    inference(unflattening,[status(thm)],[c_942]) ).

tcf(c_945,plain,
    ! [X0: $i] :
      ( ( sdtasdt0(xl,X0) != xn )
      | ~ aNaturalNumber0(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_943,c_100,c_943]) ).

tcf(c_946,plain,
    ! [X0: $i] :
      ( ~ aNaturalNumber0(X0)
      | ( sdtasdt0(xl,X0) != xn ) ),
    inference(renaming,[status(thm)],[c_945]) ).

tcf(c_974,plain,
    ! [X0: $i,X1: $i] :
      ( ( sdtasdt0(X0,sK1(X0,X1)) = X1 )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ( X1 != xm )
      | ( X0 != xl ) ),
    inference(resolution_lifted,[status(thm)],[c_96,c_104]) ).

tcf(c_975,plain,
    ( ( sdtasdt0(xl,sK1(xl,xm)) = xm )
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xl) ),
    inference(unflattening,[status(thm)],[c_974]) ).

tcf(c_976,plain,
    sdtasdt0(xl,sK1(xl,xm)) = xm,
    inference(global_subsumption_just,[status(thm)],[c_975,c_101,c_100,c_975]) ).

tcf(c_981,plain,
    ! [X0: $i,X1: $i] :
      ( aNaturalNumber0(sK1(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ( X1 != xm )
      | ( X0 != xl ) ),
    inference(resolution_lifted,[status(thm)],[c_95,c_104]) ).

tcf(c_982,plain,
    ( aNaturalNumber0(sK1(xl,xm))
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xl) ),
    inference(unflattening,[status(thm)],[c_981]) ).

tcf(c_983,plain,
    aNaturalNumber0(sK1(xl,xm)),
    inference(global_subsumption_just,[status(thm)],[c_982,c_101,c_100,c_982]) ).

tcf(c_1008,plain,
    ! [X0: $i,X1: $i] :
      ( ( sdtasdt0(X0,sK1(X0,X1)) = X1 )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ( X1 != xn )
      | ( X0 != xm ) ),
    inference(resolution_lifted,[status(thm)],[c_96,c_105]) ).

tcf(c_1009,plain,
    ( ( sdtasdt0(xm,sK1(xm,xn)) = xn )
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm) ),
    inference(unflattening,[status(thm)],[c_1008]) ).

tcf(c_1010,plain,
    sdtasdt0(xm,sK1(xm,xn)) = xn,
    inference(global_subsumption_just,[status(thm)],[c_1009,c_102,c_101,c_1009]) ).

tcf(c_1015,plain,
    ! [X0: $i,X1: $i] :
      ( aNaturalNumber0(sK1(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ( X1 != xn )
      | ( X0 != xm ) ),
    inference(resolution_lifted,[status(thm)],[c_95,c_105]) ).

tcf(c_1016,plain,
    ( aNaturalNumber0(sK1(xm,xn))
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm) ),
    inference(unflattening,[status(thm)],[c_1015]) ).

tcf(c_1017,plain,
    aNaturalNumber0(sK1(xm,xn)),
    inference(global_subsumption_just,[status(thm)],[c_1016,c_102,c_101,c_1016]) ).

tcf(c_1068,definition,
    iPr_def_10 = sK1(xm,xn),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_1069,definition,
    iPr_def_11 = sdtasdt0(xm,iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_1072,definition,
    iPr_def_14 = sK1(xl,xm),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_1073,definition,
    iPr_def_15 = sdtasdt0(xl,iPr_def_14),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_1078,plain,
    aNaturalNumber0(iPr_def_10),
    inference(demodulation,[status(thm)],[c_1017,c_1068]) ).

tcf(c_1079,plain,
    iPr_def_11 = xn,
    inference(demodulation,[status(thm)],[c_1010,c_1069]) ).

tcf(c_1082,plain,
    aNaturalNumber0(iPr_def_14),
    inference(demodulation,[status(thm)],[c_983,c_1072]) ).

tcf(c_1083,plain,
    iPr_def_15 = xm,
    inference(demodulation,[status(thm)],[c_976,c_1073]) ).

tcf(c_1086,plain,
    ! [X0: $i] :
      ( ~ aNaturalNumber0(X0)
      | ( sdtasdt0(xl,X0) != xn ) ),
    inference(demodulation,[status(thm)],[c_946]) ).

tcf(c_2022,plain,
    aNaturalNumber0(iPr_def_15),
    inference(light_normalisation,[status(thm)],[c_101,c_1083]) ).

tcf(c_2029,plain,
    ! [X0: $i] :
      ( ~ aNaturalNumber0(X0)
      | ( sdtasdt0(xl,X0) != iPr_def_11 ) ),
    inference(light_normalisation,[status(thm)],[c_1086,c_1079]) ).

tcf(c_2063,plain,
    sdtasdt0(iPr_def_15,iPr_def_10) = iPr_def_11,
    inference(light_normalisation,[status(thm)],[c_1069,c_1083]) ).

tcf(c_2596,plain,
    ! [X0: $i] :
      ( ( sdtasdt0(X0,xl) = sdtasdt0(xl,X0) )
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[status(thm)],[c_100,c_58]) ).

tcf(c_2597,plain,
    ! [X0: $i] :
      ( ( sdtasdt0(X0,iPr_def_10) = sdtasdt0(iPr_def_10,X0) )
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[status(thm)],[c_1078,c_58]) ).

tcf(c_2599,plain,
    ! [X0: $i] :
      ( ( sdtasdt0(X0,iPr_def_14) = sdtasdt0(iPr_def_14,X0) )
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[status(thm)],[c_1082,c_58]) ).

tcf(c_2877,plain,
    sdtasdt0(iPr_def_10,iPr_def_14) = sdtasdt0(iPr_def_14,iPr_def_10),
    inference(superposition,[status(thm)],[c_1082,c_2597]) ).

tcf(c_2879,plain,
    sdtasdt0(iPr_def_10,iPr_def_15) = sdtasdt0(iPr_def_15,iPr_def_10),
    inference(superposition,[status(thm)],[c_2022,c_2597]) ).

tcf(c_2882,plain,
    sdtasdt0(iPr_def_10,iPr_def_15) = iPr_def_11,
    inference(light_normalisation,[status(thm)],[c_2879,c_2063]) ).

tcf(c_2902,plain,
    ( aNaturalNumber0(sdtasdt0(iPr_def_10,iPr_def_14))
    | ~ aNaturalNumber0(iPr_def_14)
    | ~ aNaturalNumber0(iPr_def_10) ),
    inference(superposition,[status(thm)],[c_2877,c_53]) ).

tcf(c_2903,plain,
    aNaturalNumber0(sdtasdt0(iPr_def_10,iPr_def_14)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2902,c_1082,c_1078]) ).

tcf(c_3263,plain,
    sdtasdt0(xl,iPr_def_14) = sdtasdt0(iPr_def_14,xl),
    inference(superposition,[status(thm)],[c_100,c_2599]) ).

tcf(c_3272,plain,
    sdtasdt0(iPr_def_14,xl) = iPr_def_15,
    inference(light_normalisation,[status(thm)],[c_3263,c_1073]) ).

tcf(c_4698,plain,
    ! [X0: $i,X1: $i] :
      ( ( sdtasdt0(sdtasdt0(iPr_def_10,X0),X1) = sdtasdt0(iPr_def_10,sdtasdt0(X0,X1)) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[status(thm)],[c_1078,c_59]) ).

tcf(c_41806,plain,
    ! [X0: $i] :
      ( ( sdtasdt0(sdtasdt0(iPr_def_10,iPr_def_14),X0) = sdtasdt0(iPr_def_10,sdtasdt0(iPr_def_14,X0)) )
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[status(thm)],[c_1082,c_4698]) ).

tcf(c_43145,plain,
    sdtasdt0(sdtasdt0(iPr_def_10,iPr_def_14),xl) = sdtasdt0(iPr_def_10,sdtasdt0(iPr_def_14,xl)),
    inference(superposition,[status(thm)],[c_100,c_41806]) ).

tcf(c_43187,plain,
    sdtasdt0(sdtasdt0(iPr_def_10,iPr_def_14),xl) = iPr_def_11,
    inference(light_normalisation,[status(thm)],[c_43145,c_2882,c_3272]) ).

tcf(c_71467,plain,
    sdtasdt0(sdtasdt0(iPr_def_10,iPr_def_14),xl) = sdtasdt0(xl,sdtasdt0(iPr_def_10,iPr_def_14)),
    inference(superposition,[status(thm)],[c_2903,c_2596]) ).

tcf(c_71515,plain,
    sdtasdt0(xl,sdtasdt0(iPr_def_10,iPr_def_14)) = iPr_def_11,
    inference(light_normalisation,[status(thm)],[c_71467,c_43187]) ).

tcf(c_73673,plain,
    ~ aNaturalNumber0(sdtasdt0(iPr_def_10,iPr_def_14)),
    inference(superposition,[status(thm)],[c_71515,c_2029]) ).

tcf(c_73674,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_73673,c_2903]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM466+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.55  % Computer : n016.cluster.edu
% 0.10/0.55  % Model    : x86_64 x86_64
% 0.10/0.55  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.55  % Memory   : 8046.5625MB
% 0.10/0.55  % OS       : Linux 6.8.0-71-generic
% 0.10/0.55  % CPULimit : 300
% 0.10/0.55  % WCLimit  : 300
% 0.10/0.55  % DateTime : Thu Sep 24 04:12:00 UTC 2026
% 0.10/0.56  % CPUTime  : 
% 0.10/0.56  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.59  Running first-order theorem proving
% 0.14/0.59  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.60  
% 0.14/0.60  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.60  
% 0.14/0.60  % Detected problem language: tptp
% 0.14/0.61  % Proving...
% 32.11/5.55  % SZS status Started for theBenchmark.p
% 32.11/5.55  % SZS status Theorem for theBenchmark.p
% 32.11/5.55  
% 32.11/5.55  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 32.11/5.55  
% 32.11/5.55  % ------  iProver source info
% 32.11/5.55  
% 32.11/5.55  % git: date: 2026-07-19 20:42:38 +0200
% 32.11/5.55  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 32.11/5.55  % git: non_committed_changes: false
% 32.11/5.55  
% 32.11/5.55  % ------ Parsing...
% 32.11/5.55  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 32.11/5.55  
% 32.11/5.55  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e % 
% 32.11/5.55  
% 32.11/5.55  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 32.11/5.55  
% 32.11/5.55  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 32.11/5.55  % ------ Proving...
% 32.11/5.55  % ------ Problem Properties 
% 32.11/5.55  
% 32.11/5.55  % 
% 32.11/5.55  % clauses                               67
% 32.11/5.55  % conjectures                           0
% 32.11/5.55  % EPR                                   21
% 32.11/5.55  % Horn                                  50
% 32.11/5.55  % unary                                 18
% 32.11/5.55  % binary                                14
% 32.11/5.55  % lits                                  198
% 32.11/5.55  % lits eq                               70
% 32.11/5.55  % fd_pure                               0
% 32.11/5.55  % fd_pseudo                             0
% 32.11/5.55  % fd_cond                               7
% 32.11/5.55  % fd_pseudo_cond                        9
% 32.11/5.55  % AC symbols                            0
% 32.11/5.55  
% 32.11/5.55  % ------ Schedule dynamic 5 is on 
% 32.11/5.55  
% 32.11/5.55  % ------ no conjectures: strip conj schedule 
% 32.11/5.55  
% 32.11/5.55  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 32.11/5.55  
% 32.11/5.55  
% 32.11/5.55  % ------ 
% 32.11/5.55  % Current options:
% 32.11/5.55  % ------ 
% 32.11/5.55  
% 32.11/5.55  
% 32.11/5.55  % 
% 32.11/5.55  
% 32.11/5.55  % ------ Proving...
% 32.11/5.55  % 
% 32.11/5.55  
% 32.11/5.55  % SZS status Theorem for theBenchmark.p
% 32.11/5.55  
% 32.11/5.55  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.11/5.56  
% 32.11/5.56  
%------------------------------------------------------------------------------